Ruud H.G. van Tol on Wed, 22 Dec 2021 14:50:20 +0100


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Re: Maple gfun



On 2021-12-22 14:34, Bill Allombert wrote:
On Wed, Dec 22, 2021 at 02:21:57PM +0100, Ruud H.G. van Tol wrote:
On 2021-12-22 14:09, Bill Allombert wrote:
On Wed, Dec 22, 2021 at 01:48:03PM +0100, Ruud H.G. van Tol wrote:

Would something like Maple's gfun be useful for PARI?

What does gfun ? Could you give some example ?

https://dl.acm.org/doi/10.1145/178365.178368

(not necessarily the best introduction :) )

So you would like a function "serdiffdep" like seralgdep, but for linear
differential equations ? This seems easy enough.

It also mentions:

- - - - - -

An electronic prototype “superseeker” using GFUN procedures can find about 22 percent of the generating functions for the approximately 4500 sequences contained in Sloane's book [2] automatically without error.

https://www.ams.org/notices/200308/comm-sloane.pdf mentions:
Superseeker (superseeker.AT.research.att.com) carries out a more sophisticated analysis and tries hard to find an explanation for the sequence, even if it is not in the database.

- - - - - -

Is that also included in what you meant?

(not that I want to limit it to that :) )

-- Ruud